Question

PLease help geometry question

Answer 1

Let the length equal x

Then the width would be 4x + 8 (8 feet more than 4 times the length)

Area = length x width:

5,472 = x * 4x+ 8

Simplify:

5472 = 4x^2 + 8x

Subtract 5472 from both sides:

4 x^2 + 8x - 5472 = 0

Use the quadratic formula to solve for x.

X = 36

Now you know the length is 36 feet

The width = 4(36) + 8 = 152 feet

Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.

The answer is B. 376

Answer 2

Let the length equal x

Then the width would be 4x + 8 (8 feet more than 4 times the length)

Area = length x width:

5,472 = x * 4x+ 8

Simplify:

5472 = 4x^2 + 8x

Subtract 5472 from both sides:

4 x^2 + 8x - 5472 = 0

Use the quadratic formula to solve for x.

X = 36

Now you know the length is 36 feet

The width = 4(36) + 8 = 152 feet

Now find the perimeter: 152 + 152 + 36 + 36 = 376 feet.

The answer is B. 376